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Finding the Fourth Proportional to 2,728.14, 3,765 and 1,549.44

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Solution

The fourth proportional to 2,728.14, 3,765 and 1,549.44 is: 2,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.14 : 3,765 = 1,549.44 : x
  2. Step 2: Convert to fraction form
    2,728.14/3,765 = 1,549.44/x
  3. Step 3: Cross multiply
    2,728.14x = 3,765 × 1,549.44
  4. Step 4: Simplify right side
    2,728.14x = 5,833,641.60
  5. Step 5: Solve for x
    x = 5,833,641.60/2,728.14
  6. Step 6: Final answer
    x = 2,138.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.